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Finding the Fourth Proportional to 36,609.68, 54,914.51 and 10,311

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Solution

The fourth proportional to 36,609.68, 54,914.51 and 10,311 is: 15,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,609.68 : 54,914.51 = 10,311 : x
  2. Step 2: Convert to fraction form
    36,609.68/54,914.51 = 10,311/x
  3. Step 3: Cross multiply
    36,609.68x = 54,914.51 × 10,311
  4. Step 4: Simplify right side
    36,609.68x = 566,223,461.06
  5. Step 5: Solve for x
    x = 566,223,461.06/36,609.68
  6. Step 6: Final answer
    x = 15,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.